oj.uz

Submission #1087614

# Submission time Handle Problem Language Result Execution time Memory
1087614 2024-09-13T02:50:28 Z Whisper Aesthetic (NOI20_aesthetic) C++17
35 / 100
 673 ms 45232 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)


constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

/*
    Phu Trong from Nguyen Tat Thanh High School for gifted student
*/

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
#define MAX                 300005
int numNode, numEdge;
vector<int> G[MAX];
struct Edge{
    int u, v, w;
    Edge(){}
    Edge(int _u, int _v, int _w): u(_u), v(_v), w(_w){}

    int other(int x){return (x ^ u ^ v);}
} edge[MAX];
int minDist[2][MAX];

void dijkstra(int s, int minDist[]){
    for (int i = 1; i <= numNode; ++i) minDist[i] = LINF;
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> q;
    q.emplace(0, s);
    minDist[s] = 0;
    while(q.size()){
        int du, u; tie(du, u) = q.top(); q.pop();
        if(du > minDist[u]) continue;

        for(int&i : G[u]) {
            int v = edge[i].other(u);
            if(minimize(minDist[v], minDist[u] + edge[i].w)){
                q.emplace(minDist[v], v);
            }
        }
    }
}

int low[MAX], num[MAX], timeDfs = 0;

int suffix[MAX];
bool contain[MAX];
vector<pair<int, int>> newG[MAX];
bool ok = 0;

int value = 0;
void tarjan(int u, int p){
    if(u == numNode) contain[u] = true;
    low[u] = num[u] = ++timeDfs;
    for (pair<int, int>&x : newG[u]){
        int v = x.first, i = x.second;
        if(v ^ p){
            if(num[v]) minimize(low[u], num[v]);
            else{
                tarjan(v, u);
                minimize(low[u], low[v]);
                contain[u] |= contain[v];

                if(num[v] == low[v]){
                    if(!contain[v]) continue;
                    if(minDist[0][u] + edge[i].w + minDist[1][v] != minDist[0][numNode]) continue;
                    if(minDist[0][u] + edge[i].w + minDist[1][v] + suffix[i] >= minDist[0][numNode] + value)
                        ok = 1;
                }
            }
        }
    }
}

void process(void){
    cin >> numNode >> numEdge;
    int max_weight = 0;
    for (int i = 1; i <= numEdge; ++i){
        cin >> edge[i].u >> edge[i].v >> edge[i].w;
        G[edge[i].u].emplace_back(i);
        G[edge[i].v].emplace_back(i);
        maximize(max_weight, edge[i].w);
    }

    dijkstra(1, minDist[0]);
    dijkstra(numNode, minDist[1]);

    suffix[numEdge] = -LINF;
    for (int i = numEdge - 1; i >= 1; --i){
        maximize(suffix[i], suffix[i + 1]);
        maximize(suffix[i], edge[i + 1].w);
    }

    for (int i = 1; i <= numEdge; ++i){
        if(minDist[0][edge[i].u] > minDist[0][edge[i].v]) swap(edge[i].u, edge[i].v);
    }
    int l = 0, r = max_weight;
    int add = 0;

    auto check = [&](int val) -> bool{
        timeDfs = 0, ok = 0;
        value = val;
        for (int i = 1; i <= numNode; ++i) newG[i].clear(), contain[i] = num[i] = low[i] = 0;

        auto active = [&](int u, int v, int w, int x) -> bool{
            if(minDist[0][u] + minDist[1][v] + w < minDist[0][numNode] + x) return true;
            if(minDist[0][v] + minDist[1][u] + w < minDist[0][numNode] + x) return true;
            return false;
        };

        for (int u = 1; u <= numNode; ++u){
            for (int&i : G[u]){
                int v = edge[i].other(u);
                if(active(u, v, edge[i].w, val)) {
                    newG[u].emplace_back(v, i);
                }
            }
        }
        tarjan(1, 0);
        return (ok);
    };

    while(l <= r){
        int m = (l + r) >> 1;
        if(check(m)) l = m + 1, add = m;
        else r = m - 1;
    }

    cout << minDist[0][numNode] + add;
}
signed main(){
    #define name "Whisper"
    cin.tie(nullptr) -> sync_with_stdio(false);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    process();
    return (0 ^ 0);
}

Compilation message

Aesthetic.cpp: In lambda function:
Aesthetic.cpp:127:81: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
  127 |         for (int i = 1; i <= numNode; ++i) newG[i].clear(), contain[i] = num[i] = low[i] = 0;
      |                                                                          ~~~~~~~^~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14424 KB Output is correct
2 Correct 5 ms 14428 KB Output is correct
3 Correct 6 ms 14428 KB Output is correct
4 Correct 5 ms 14428 KB Output is correct
5 Correct 5 ms 14532 KB Output is correct
6 Correct 6 ms 14424 KB Output is correct
7 Correct 5 ms 14428 KB Output is correct
8 Correct 5 ms 14436 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14424 KB Output is correct
2 Correct 5 ms 14428 KB Output is correct
3 Correct 6 ms 14428 KB Output is correct
4 Correct 5 ms 14428 KB Output is correct
5 Correct 5 ms 14532 KB Output is correct
6 Correct 6 ms 14424 KB Output is correct
7 Correct 5 ms 14428 KB Output is correct
8 Correct 5 ms 14436 KB Output is correct
9 Correct 6 ms 14684 KB Output is correct
10 Correct 7 ms 14576 KB Output is correct
11 Correct 7 ms 14684 KB Output is correct
12 Correct 11 ms 14932 KB Output is correct
13 Correct 7 ms 14684 KB Output is correct
14 Correct 7 ms 14880 KB Output is correct
15 Correct 7 ms 14684 KB Output is correct
16 Correct 7 ms 14684 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 650 ms 44372 KB Output is correct
2 Correct 654 ms 44364 KB Output is correct
3 Correct 641 ms 44328 KB Output is correct
4 Correct 601 ms 44112 KB Output is correct
5 Correct 648 ms 44624 KB Output is correct
6 Correct 632 ms 44980 KB Output is correct
7 Correct 673 ms 44880 KB Output is correct
8 Correct 650 ms 44952 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 652 ms 45232 KB Output is correct
2 Correct 635 ms 44720 KB Output is correct
3 Correct 600 ms 44368 KB Output is correct
4 Correct 656 ms 44876 KB Output is correct
5 Correct 635 ms 44524 KB Output is correct
6 Correct 621 ms 44356 KB Output is correct
7 Correct 553 ms 44568 KB Output is correct
8 Correct 609 ms 44888 KB Output is correct

Subtask #5
0 / 16.0

# Verdict Execution time Memory Grader output
1 Incorrect 208 ms 40636 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 22.0

# Verdict Execution time Memory Grader output
1 Incorrect 208 ms 40636 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14424 KB Output is correct
2 Correct 5 ms 14428 KB Output is correct
3 Correct 6 ms 14428 KB Output is correct
4 Correct 5 ms 14428 KB Output is correct
5 Correct 5 ms 14532 KB Output is correct
6 Correct 6 ms 14424 KB Output is correct
7 Correct 5 ms 14428 KB Output is correct
8 Correct 5 ms 14436 KB Output is correct
9 Correct 6 ms 14684 KB Output is correct
10 Correct 7 ms 14576 KB Output is correct
11 Correct 7 ms 14684 KB Output is correct
12 Correct 11 ms 14932 KB Output is correct
13 Correct 7 ms 14684 KB Output is correct
14 Correct 7 ms 14880 KB Output is correct
15 Correct 7 ms 14684 KB Output is correct
16 Correct 7 ms 14684 KB Output is correct
17 Correct 650 ms 44372 KB Output is correct
18 Correct 654 ms 44364 KB Output is correct
19 Correct 641 ms 44328 KB Output is correct
20 Correct 601 ms 44112 KB Output is correct
21 Correct 648 ms 44624 KB Output is correct
22 Correct 632 ms 44980 KB Output is correct
23 Correct 673 ms 44880 KB Output is correct
24 Correct 650 ms 44952 KB Output is correct
25 Correct 652 ms 45232 KB Output is correct
26 Correct 635 ms 44720 KB Output is correct
27 Correct 600 ms 44368 KB Output is correct
28 Correct 656 ms 44876 KB Output is correct
29 Correct 635 ms 44524 KB Output is correct
30 Correct 621 ms 44356 KB Output is correct
31 Correct 553 ms 44568 KB Output is correct
32 Correct 609 ms 44888 KB Output is correct
33 Incorrect 208 ms 40636 KB Output isn't correct
34 Halted 0 ms 0 KB -